code: def setUp(self):
      super().setUp()
      torch.random.manual_seed(0)
  
      train_x = torch.rand(2, 10, 1, device=self.device)
      train_y = torch.randn(2, 10, 3, 5, device=self.device)
  
      m1 = HigherOrderGP(train_x, train_y)
      m2 = HigherOrderGP(train_x[0], train_y[0])
  
      torch.random.manual_seed(0)
      test_x = torch.rand(2, 5, 1, device=self.device)
  
      posterior1 = m1.posterior(test_x)
      posterior2 = m2.posterior(test_x[0])
      posterior3 = m2.posterior(test_x)
  
      self.post_list = [
          [m1, test_x, posterior1],
          [m2, test_x[0], posterior2],
          [m2, test_x, posterior3],
      ]
  
file_path: botorch/test/posteriors/test_higher_order.py
imports: import numpy
  import torch
  from botorch.exceptions.errors import BotorchTensorDimensionError
  from botorch.models.higher_order_gp import HigherOrderGP
  from botorch.posteriors.higher_order import HigherOrderGPPosterior
  from botorch.sampling.normal import IIDNormalSampler
  from botorch.utils.testing import BotorchTestCase
label_desc: Use image node_id 1 for calling the TestHigherOrderGPPosterior obj's underlying member method code with example usage: obj.setUp() without return types